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Step2247 [10]
3 years ago
8

A ladder is placed against the side of a house. The top of the ladder is 12 feet above the ground. The base of the ladder is 5 f

eet away from the house. Find the length of the ladder.
Mathematics
1 answer:
Colt1911 [192]3 years ago
3 0
This is the Pythagorean theorem where the 2 legs of a triangle squared add up to equal the squared hypotenuse (a^2 + b^2 = c^2)

The equation would be
12^2 + 5^2 = x^2

144 + 25 = 169

The square root of 169 = 13

Answer - 13 ft
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Here are all the steps, and what they do:

STEP 1: HORIZONTAL TRANSLATION

We transform

x^2\mapsto (x-1)^2

The general transformation is

f(x)\mapsto f(x+k)

These transformations translate the graph horizontally, k units to the left if k>0, k units to the right if k<0.

In this case, k = -1, so we translate the original graph 1 unit to the right.

STEP 2: VERTICAL STRETCH

We transform

(x-1)^2\mapsto 3(x-1)^2

The general transformation is

f(x)\mapsto kf(x)

These transformations stretch the graph vertically. The graph expands if |k|>1, while it shrinks if 0<|k|<1. If k is negative, we also reflect the graph with respect to the x axis.

In this case, k = 3, so we stretch the graph vertically by a factor 3.

STEP 3: VERTICAL TRANSLATION

We transform

3(x-1)^2\mapsto 3(x-1)^2+4

The general transformation is

f(x)\mapsto f(x)+k

These transformations translate the graph vertically, k units up if k>0, k units down if k<0.

In this case, k = 4, so we translate the graph 4 units up.

So, we start from the original graph of f(x)=x^2 and we:

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Ronch [10]

Answer: The graph shown

Step-by-step explanation:

Another graph of the function is attached in this answer.

4 0
1 year ago
Help me please thank you
Anni [7]

Answer:

a) the numerator, <em>a</em>, would be a smaller number than the denominator, <em>b.</em>

b) the fraction a/b could be over or under the amount of 1/2.

c) the fraction could be over or under the amount of 1.

Step-by-step explanation:

examples:

a) 2/8

b)3/8 or 6/10

c) 8/9 or 1 1/8

Hope this helps :)

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3 years ago
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